Series JEE

Algebra Level 5

r=1r3+(r2+1)2r6+r5+r4+r3+r2+r \displaystyle \sum_{r=1}^{\infty}\frac{r^{3}+(r^{2}+1)^{2}}{r^{6}+r^{5}+r^{4}+r^{3}+r^{2}+r}

Evaluate the above expression.

This problem is a part of my set Some JEE problems

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